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Finding the Fourth Proportional to 223,059.54, 307,801.71 and 132,400.02

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Solution

The fourth proportional to 223,059.54, 307,801.71 and 132,400.02 is: 182,699.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,059.54 : 307,801.71 = 132,400.02 : x
  2. Step 2: Convert to fraction form
    223,059.54/307,801.71 = 132,400.02/x
  3. Step 3: Cross multiply
    223,059.54x = 307,801.71 × 132,400.02
  4. Step 4: Simplify right side
    223,059.54x = 40,752,952,560.03
  5. Step 5: Solve for x
    x = 40,752,952,560.03/223,059.54
  6. Step 6: Final answer
    x = 182,699.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.